Find dx (3) by Parametric Functions method X y = √t +/ ที่ t = 4 t= (Ans. 1

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Q: Using polar coordinates, evaluate the integral si sin(x² + y²)dA where R is the region 9 ≤ x² + y² ≤…

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A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 6y' - 16y = ex Yp =…

A: Using complementary function and particular integral, we can find the general solution of given…

Q: Yp = Find the most general solution to the associated homogeneous differential equation. Use c₁ and…

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Q: Find two power series solutions of the given differential equation about the ordinary point, z = 0.…

A: (x+2)y''+xy'-y=0

Q: QUESTION 6 Determine the number of triangles with the given parts. a = 34, b = 69, a = 74° 3 2

A: Using cosine rule of triangles, we can find the possible number of solutions.

Q: Consider two positive infinite series S = Σn-1 a₂ and T = b and assume that for every value of n, an…

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Q: a) Two variables, p and q, are connected by the formula p = 120e0.5q where q > 0. i) Explain why p >…

A: According to our guideline we are supposed to transfer only the first question. If you want any…

Q: Describe the graph of the equation. r = 17 sin 3ti + 17 cos 3tj O It is a circle of radius 17 in the…

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Q: The half-life of a certain substance is 5.9 days. How many days will it take for 30 g of the…

A: The half-life of a certain substance is 5.9 days. To determine the number of days that it will take…

Q: triple integral (x + 3y) dV where E is bounded by the parabolic cylinder y = 3x² and the planes z =…

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Q: Complete the square of the following equation that is in STANDARD form to find the VERTEX form of…

A: given standard form is:

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x +…

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Q: the following vectors: u = [− 2,−1,2] v = [1,−1,−4]and w = [4,3,−2], find u x w

A: u=[-2,-1,2]v=[1,-1,-4]w=[4,3,-2]Find u x w.

Q: Consider the solid shaped like an ice cream cone that is bounded by the functions z = 32x² - y². Set…

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Q: Identify and express the function from the graph given as a cosine function 2π -774 -357/2 5T14 -π…

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Q: Use the Method of Coefficient to the general to the following non-homogeneous differential equation.…

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Q: Compute the values of dy and Ay for the function y = 5x + 2x given x = 0 and Ax = dx = 0.05. e Round…

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Q: After a proper substitution, the integral becomes S of os,

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Q: (a)! (t (5) Find the indefinite integral (a) √tan x sec²dx tan 2x sec² 2xdx (b) ſetan 2x s sin x 3…

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Q: Find the derivative of the function f(x, y, z) = 2x³ + zsin y at the point (-1, 1, 1) in the…

A: The given function is

Q: Find 1₁ -2x + y da, where R is the parallelogram enclosed by the lines 2x+6y R -2x+y=0,- 2x + y = 4,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the derivative of the function. g(u) = (5+u²)5 (7-5u²)8 g (u)

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Q: Find the volume of the solid obtained by rotating the region bounded by y = tan x, y = x, and x =…

A: The region enclosed by the given curves is shown below:To find the volume of revolution about the…

Q: Change from rectangular to spherical coordinates. (Let p > 0, 0 ≤ 0 ≤ 2π, and 0 ≤ y ≤ π.) (a) (0, 8,…

A: To change from rectangular to spherical coordinates.  (Let , and .)(a) (b)

Q: Find the area between the parabolas x = y² and x = 2y - y²

A: To find the area between the parabolas  and .

Q: Let f(x) = x² + 3 x² - 9 Determine the horizontal and vertical asymptotes

A: We have to determineThe horizontal asymptots And vertical asymptots

Q: 2²₁2²2² For the following equation, find the foci of the ellipse: + 28 O (6,0), (-6,0) O (0,6), (0,…

A: The ellipse equation given is

Q: Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the…

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Q: Compute In (9) fhe S 5 e tesx 5x 5 +8 3) ³ dx

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Q: Find the exact value of y, or state that y is undefined. y = sin-¹ (4) -1 000 undefined 0 4 Л

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Q: Find the absolute maximum and absolute minimum values off on the given interval. 1)-7t+7 cot[1/2],…

A: The given function

Q: 1. Let R be the region bounded by y = 2³ and y = √√. Find the following. (1) Volume of the solid…

A: (1) Region is bounded by the curvesy=x3 and y=xRegion is being rotated about y=1

Q: J ** +3x³ + 2x² + 1 x² + 3x + 2 dx; use division.

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Q: How many shortest lattice paths start at (5,5) and a. end at (13, 13)? b. end at (13, 13) and pass…

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Q: Classify the following conic section from its standard equation: 2x² + 9xy+14y²-5=0 O Hyperbola…

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Q: 10. Find the average value of f(x, y) = xy on the quarter circle x² + y² = 1 in the first quadrant

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Q: The product rule states that the derivative of a product of functions f (x) and g(x) is equal to…

A: Let h(x)= f(x).g(x)

Q: A circular porthole on a vertical side of a submarine (submerged in seawater) has a diameter of 1…

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Q: 2. The entertainment sport industry employs athletes, coaches, referees, and related workers. Of…

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Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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Q: After a proper substitution, the integral Jo o fo o So dt 1+t² 11 dt 1+1² dt O J ldt (1+tan ¹…

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8). a. How many subsets of A are there? That is, find |P(A)|. b. How…

A: because as per guideleines we are supposed to answer only first three sub parts.

Q: Find 2. by Implicit Differentiation method dx k+5 = 8

A: Use implicit differentiation method find dy/dx.If

Q: How many anagrams are there of “agraphia”?

A: To find the number of anagrams of the word "agraphia," we need to consider all the possible…

Q: Use series to approximate the definite integral to within the indicated accuracy: 0.9 16.⁰⁹ sin(x³)…

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Q: J 1 √4x-3-x² =dx, x= sint +2

A: Given that a integration and we solve this integration by using general property of integral.

Q: Question 8 a) Two variables, p and q, are connected by the formula p = 120e0.5g + 80 where q > 0. i)…

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